Christina0079idn
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Jim sells used drones for 70% of the original manufacturer's purchase price of a new drone. Jim also sells new drones for 15% more than the manufacturer's purchase price of a new drone. write a function to determine the total amount a customer saves if they purchase a used drone rather than a new drone from Jim's store. let x represent the manufacturer's purchase price of the drone

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MrRoyalidn

The function for the amount saved if they purchase a used drone rather than a new drone from Jim's store is f(x) = 0.45x

He sells used drones at 70% of the price (x).

So, the selling price of a used drone is:

[tex]\mathbf{Used = 70\% \times x}[/tex]

Express percentage as decimal

[tex]\mathbf{Used = 0.7 \times x}[/tex]

[tex]\mathbf{Used = 0.7x}[/tex]

Also, he sells new drones at 15% more of the price (x).

So, the selling price of a new drone is:

[tex]\mathbf{New= (1 + 15\%) \times x}[/tex]

Express percentage as decimal

[tex]\mathbf{New= (1 + 0.15) \times x}[/tex]

[tex]\mathbf{New= 1.15 \times x}[/tex]

[tex]\mathbf{New= 1.15x}[/tex]

The amount saved is the difference between the prices of the drones.

So, we have:

[tex]\mathbf{Saved =New - Old}[/tex]

This gives

[tex]\mathbf{Saved =1.15x- 0.7x}[/tex]

Subtract

[tex]\mathbf{Saved =0.45x}[/tex]

Express as a function

[tex]\mathbf{f(x) = 0.45x}[/tex]

Hence, the function for the amount saved is f(x) = 0.45x

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